What is the Least Common Multiple of 43848 and 43854?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 43848 and 43854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43848 and 43854, than apply into the LCM equation.

GCF(43848,43854) = 6
LCM(43848,43854) = ( 43848 × 43854) / 6
LCM(43848,43854) = 1922910192 / 6
LCM(43848,43854) = 320485032

Least Common Multiple (LCM) of 43848 and 43854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43848 and 43854. First we will calculate the prime factors of 43848 and 43854.

Prime Factorization of 43848

Prime Factorization of 43854

Now multiplying the highest exponent prime factors to calculate the LCM of 43848 and 43854.

LCM(43848,43854) = 2³ × 3³ × 7¹ × 29¹ × 7309¹
LCM(43848,43854) = 320485032